GATE CSE 2006 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2006

MCQ (Single Correct Answer)

-0.6

A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property.

Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?

1, 3, 5, 6, 8, 9

9, 6, 3, 1, 8, 5

9, 3, 6, 8, 5, 1

9, 5, 6, 8, 3, 1

GATE CSE 2006

MCQ (Single Correct Answer)

-0.3

Which one of the following in place sorting algorithms needs the minimum number of swaps?

Quick sort

Insertion sort

Selection sort

Heap sort

GATE CSE 2006

MCQ (Single Correct Answer)

-0.3

In a binary max heap containing n numbers, the smallest element can be found in time

$$O(n)$$

$$O(\log n)$$

$$O(\log \log n)$$

$$O(1)$$

GATE CSE 2006

MCQ (Single Correct Answer)

-0.6

Which one of the following grammars generates the following language?

$$L = \left( {{a^i}{b^j}|i \ne j} \right)$$

$$\eqalign{ & S \to AC\,|\,CB \cr & C \to aCb\,|\,a\,|\,b \cr & A \to aA\,|\, \in \cr & B \to Bb\,|\, \in \cr} $$

$$S \to aS\,|\,Sb\,|\,a\,|\,b$$

$$\eqalign{ & S \to AC\,|\,CB \cr & C \to aCb\,|\, \in \cr & A \to aA\,|\, \in \cr & B \to Bb\,|\, \in \cr} $$

$$\eqalign{ & S \to AC\,|\,CB \cr & C \to aCb\,|\, \in \cr & A \to aA\,|\,a \cr & B \to Bb\,|\,b \cr} $$

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